mediumBacktrackingPattern: Mixed

Valid Grid Paths Solution

Problem Statement

Given a rectangular grid of size m x n and a set of obstacle coordinates, find all distinct paths from the top-left cell to the bottom-right cell. Movement is restricted to either right or down at any point.

Constraints

  • 1 <= m, n <= 20
  • 0 <= number of asteroids <= 10
Time: O(m*n) Space: O(m*n)
An optimal approach would be to use a depth-first search (DFS) or backtracking algorithm, which only explores valid paths that avoid asteroids, resulting in a time complexity of O(m*n).

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